If aabb is a four digit number and also a perfect square,then the value of a+b is:

Explanation

aabb can be wrtten as `= 1000a + 11a +10b +b`

`= 1100a + 11b`

`= 11(100a+b)`

for aabb to be a perfect square `(100a+b) = 11 *n^2` where n is any natural number

`aabb = 11 *11 + n^2`

for `n=1 => 11*11=121` not possible

`n=2 => 11*44` not possible

`n=3 => 11*11*9= 121*9= 1089` not possible

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